71450588716416 has 3584 divisors, whose sum is σ = 296677624320000. Its totient is φ = 16578374270976.

The previous prime is 71450588716363. The next prime is 71450588716427. The reversal of 71450588716416 is 61461788505417.

It is a happy number.

71450588716416 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 0 + 588 + 7 + 1 + 6 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 298956438025 + ... + 298956438263.

It is an arithmetic number, because the mean of its divisors is an integer number (82778355000).

Almost surely, 2^{71450588716416} is an apocalyptic number.

71450588716416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71450588716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148338812160000).

71450588716416 is an abundant number, since it is smaller than the sum of its proper divisors (225227035603584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71450588716416 is a wasteful number, since it uses less digits than its factorization.

71450588716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 71450588716416 in words is "seventy-one trillion, four hundred fifty billion, five hundred eighty-eight million, seven hundred sixteen thousand, four hundred sixteen".